This is an introductory book on Ergodic Theory. The presentation has a slow pace and the book can be read by any person with a background in basic measure theory and metric topology. A new feature of the book is that the basic topics of Ergodic Theory such as the Poincare recurrence lemma, induced automorphisms and Kakutani towers, compressibility and E. Hopf's theorem, the theorem of Ambrose on representation of flows are treated at the descriptive set-theoretic level before their measure-theoretic or topological versions are presented. In addition, topics around the Glimm-Effros theorem are discussed. In the third edition a chapter entitled 'Additional Topics' has been added. It gives Liouville's Theorem on the existence of invariant measure, entropy theory leading up to Kolmogorov-Sinai Theorem, and the topological dynamics proof of van der Waerden's theorem on arithmetical progressions.
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Seller: Books Puddle, New York, NY, U.S.A.
Condition: New. pp. 196 Index 3rd Edition. Seller Inventory # 2650453696
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Seller: Majestic Books, Hounslow, United Kingdom
Condition: New. pp. 196. Seller Inventory # 58090271
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Seller: Vedams eBooks (P) Ltd, New Delhi, India
Hardcover. Condition: New. Dust Jacket Condition: New. 3rd Edition. Contents: Preface. 1. The poincare recurrence Lemma. 2. Ergodic theorems of Birkhoff and von Neumann. 3. Ergodicity. 4. Mixing conditions and their characterisations. 5. Bernoulli shift and related concepts. 6. Discrete Spectrum theorem. 7. Induced automorphisms and related concepts. 8. Borel automorphisms are polish homeomorphisms. 9. The Glimm-Effros theorem. 10. E. Hopf's theorem. 11. H. Dye's theorem. 12. Flows and their representations. References. Index. "This is an introductory book on Ergodic theory. The presentation has a slow pace and the book can be read by any person with a background in basic measure theory and metric topology. A new feature of the book is that basic topics of Ergodic theory such as the Poincare recurrence lemma, induced automorphisms and Kakutani towers, compressibility and E. Hopf's theorem, the theorem of Ambrose on representation of flows are treated at the descriptive set-theoretic level before their measure-theoretic or topological versions are presented. In addition, topics around the Glimm-Effros theorem are discussed. These topics have so far not found a place in texts on Ergodic theory. "In the second edition, a section on rank automorphisms and a brief discussion of the Ergodic theorem due to Wiener and Wintner have been added." No. 27283 182 pp. Seller Inventory # 43345
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Seller: Romtrade Corp., STERLING HEIGHTS, MI, U.S.A.
Condition: New. This is a Brand-new US Edition. This Item may be shipped from US or any other country as we have multiple locations worldwide. Seller Inventory # ABNR-172566
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Seller: Books in my Basket, New Delhi, India
Hardcover. Condition: New. ISBN:9789380250434. Seller Inventory # 2296140
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